Vibration Analysis of Shaft-Bladed System Undergoing both Global Motion and Elastic Deformation

Article Preview

Abstract:

The vibration model of on a shaft-bladed system is built undergoing both global motion and elastic deformation by finite element method (FEM).The blade’s dynamic equation in rotating reference frame is established.The various effects are analysed such as Coriolis force,centrifugal force,spin softening,acceleration ect,which have influence to a blade vibtation frequencies in varying degrees.The shaft’s dynamic equation in stationary reference frame is deduced by setting gyroscopic matrix and inertia effects.The beam element model in the shaft-bladed system was set and the critical speeds were calculated.Calculation shows that the effects of the prestress and spin softening have great influence on shaft-bladed system vibration frequencies.The blade’s frequencies decreases slightly because the blade stiffness reduced in the system relatively.The work lays a basic foundation for improving the dynamic stability of the rotor system.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

299-302

Citation:

Online since:

August 2014

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] A Y T Leung, G R Wu, W F Zhong. Vibration analysis of flexible beam undergoing both global motion and elastic deformation[J]. International journal of structural stability and dynamics, Vol. 4, 2004(4): 589-598.

DOI: 10.1142/s0219455404001409

Google Scholar

[2] V I Gulyaev, S N Khudolii. Vibrations of curved and twisted blades during complex rotation[J]. International applied mechanics, Vol. 41, 2005(4): 449-454.

DOI: 10.1007/s10778-005-0109-1

Google Scholar

[3] C Wang , Y R Wang. Simulation of long blades and calculation of Critical speeds of the steam turbine rotor by 3D finite element methods[J]. Journal of power engineering, Vol. 27, 2007(6): 840-844 (in chinese).

Google Scholar

[4] Z L Mahri, M S Rouabah. Calculation of dynamic stresses using Finite Element Method and prediction of fatigue failure for wind turbine rotor[J]. Applied and theoretical mechanics, Vol. 3, 2008(1): 28-41.

Google Scholar

[5] P J Murtagh, B Basu, B M Broderick. Mode acceleration approach for rotating wind turbine blades[J]. Proc. Instn Mech. Engrs Vol. 218 Part K:J. Multi-body Dynamics. 2004, (3): 159-167.

DOI: 10.1243/1464419042035962

Google Scholar

[6] J G Yang , W Wei. Research on the coupled blade-bending and shaft-torsion vibration of rotating machinery[J]. Power engineering. Vol. 23, 2003(4): 2569-2573.

Google Scholar

[7] X S Yao. Study on dynamics of wind turbine blade based on spin softening[J]. Journal of chinese society of power engineering, Vol. 31, 2011(3)209-213. (in Chinese).

Google Scholar

[8] A T Marcelo, S Rubens. Dynamics of beams undergoing large rotations accounting for arbitrary axial deformation[J]. ENIEF 2003 - XIII Congreso sobre Métodos Numéricos y sus Aplicaciones, Mecánica Computacional, 2003, Vol. XXII: 2591-2611.

Google Scholar

[9] M O Kaya. Free vibration analysis of a rotating Timoshenko beam by differential transform method[J]. Aircraft engineering and aerospace Technology, Vol. 78, 2006(3): 194-203.

DOI: 10.1108/17488840610663657

Google Scholar

[10] T Yokoyama. Vibrations of a Hanging Timoshenko Beam Under Gravity[J]. Journal of sound and vibration, Vol. 141, 1990(2): 245-258.

DOI: 10.1016/0022-460x(90)90838-q

Google Scholar

[11] J W Xu, R Tian, Z Y Gao, D R Bao, Y C Li. Study on structure's dynamic characteristic of the horizontal axis wind turbine [J]. Acta energial solaris sinica. Vol. 28, 2007(8): 834-838. (in Chinese).

Google Scholar